
The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.





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Therefore the angle of depression from the lifeguard to the boy is 24°.
Answer:
m = 15/4
Step-by-step explanation:
slope (m) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-5 , -10)
(x₂ , y₂) = (-1 , 5)
Plug in the corresponding numbers to the corresponding variables:
m = (5 - (-10))/(-1 - (-5))
m = (5 + 10)/(-1 + 5)
m = (15)/(4)
m = 15/4 is your answer.
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Answer:
a) X ~ 
b) μ = 100/3
c) 
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~ 
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is 
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
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